Abstract

We demonstrate experimentally a generic method for the synthesis of optical femtosecond pulses based on Gaussian, Airy and Hermite-Gauss functions, which are transformed to exhibit fringes with tunable width. The width of the fringes is set in some cases to be much narrower than the inverse of the spectral bandwidth. Such pulses might be useful for ultrafast spectroscopy, coherent control and nonlinear optics.

Highlights

  • Manipulating the amplitude and phase of optical pulses is important for numerous applications such as spectroscopy, metrology [1], optical communications [2], coherent control [3] and microscopy [4]

  • We have demonstrated numerically and experimentally the synthesis of complex femtosecond pulses which are the result of applying a finite width spectral π phase modulation to known functional forms

  • There are technical limits in any physical system for its ability to create fast super-oscillating features. These limits are mostly dependent on the available resolution and fidelity at which the phase and amplitude of the desired waveforms can be synthesized

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Summary

Introduction

Manipulating the amplitude and phase of optical pulses is important for numerous applications such as spectroscopy, metrology [1], optical communications [2], coherent control [3] and microscopy [4]. In this work we demonstrate numerically and experimentally a simpler, more generic and more flexible method for creating a variety of structured super oscillating pulses having arbitrarily short features (within technical limitations discussed below) which can be tuned in a controlled manner and are based on known functional forms such as Gaussian, Airy and Hermite-Gauss pulses. The modulation we employ is a simple π-phase shift over a finite bandwidth with its width being a control parameter It is well known for many years that a π-phase step can turn a transform limited Gaussian pulse to an Hermite-Gauss pulse [24], which is wider but contain faster oscillations. Following the wide range of uses optical super oscillations has found in the spatial domain, the current method might be relevant to various applications utilizing ultrashort pulses

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